Effective Regge trajectory in the entire complex-angular-momentum plane

Vasavada, Kashyap V.

doi:10.1007/bf02759057

Cited by 3 publications

(3 citation statements)

References 12 publications

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“…In Refs. [41][42][43][44][45][46][47], the authors show that the effective trajectory for large momentum transfer (−t) goes like √ −t. In Ref.…”

Section: Introductionmentioning

confidence: 99%

Concavity of the meson Regge trajectories

Chen

2018

Physics Letters B

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It is illustrated by the fitted Regge trajectories for a large majority of mesons that the radial and orbital Regge trajectories for mesons prefer being concave in the (nr, M 2 ) and (l, M 2 ) planes, respectively. The concavity of the meson Regge trajectories is model-independent. The concavity is expected to act as a criterion to choose a newly observed meson or to assign a particle to the unwellestablished state. The concavity of the meson Regge trajectories can assist in model construction and in the choice of the appropriate model to describe mesons. The appropriate models should yield the spectra which can produce the concave Regge trajectories according to the concavity of the meson Regge trajectories. If the large majority of the meson Regge trajectories are concave while a few meson Regge trajectories are convex which neither have been confirmed nor have been completely excluded at present, many existing models should be corrected or even be reconstructed, which will lead to the further understanding of the meson dynamics.

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“…In Refs. [41][42][43][44][45][46][47], the authors show that the effective trajectory for large momentum transfer (−t) goes like √ −t. In Ref.…”

Section: Introductionmentioning

confidence: 99%

Concavity of the meson Regge trajectories

Chen

2018

Physics Letters B

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“…[26][27][28], the authors obtain an interpolating mass formula which gives the nonlinear Regge trajectories. The idea of nonlinear Regge trajectories is not new [29][30][31][32][33][34][35]. Different models and different potentials will effect the Regge trajectories [6,36,37].…”

Section: Introductionmentioning

confidence: 99%

“…In Refs. [43][44][45], the square-root trajectory is obtained by combining both Regge poles and cuts. The Schrödinger equation with the Cornell potential produces the Regge trajectories M 2 ∼βl 4/3 , and the linear Regge trajectories demands the confining potential rising as r 2/3 [46].…”

Section: Introductionmentioning

confidence: 99%

Regge trajectories for heavy quarkonia from the quadratic form of the spinless Salpeter-type equation

Chen

2018

Eur. Phys. J. C

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In this paper, we present one new form of the Regge trajectories for heavy quarkonia which is obtained from the quadratic form of the spinless Salpeter-type equation (QSSE) by employing the Bohr-Sommerfeld quantization approach. The obtained Regge trajectories take the parameterized form M 2 = β(c l l + π n r + c 0 ) 2/3 + c 1 , which are different from the present Regge trajectories. Then we apply the obtained Regge trajectories to fit the spectra of charmonia and bottomonia. The fitted Regge trajectories are in good agreement with the experimental data and the theoretical predictions.

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